Q : 27 Simplify the rational expression... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q : 27 (page 651)

Simplify the rational expression $\frac{z^{2} - 9 z + 20}{16 - z^{2}}$

Short Answer

Expert verified

The simplified form of rational expression $\frac{z^{2} - 9 z + 20}{16 - z^{2}} i s \frac{- (z - 5)}{(z + 4)}, z 鈮� - 4$ .

Step by step solution

Given information

Given rational expression is $\frac{z^{2} - 9 z + 20}{16 - z^{2}}$

We have to simplify the given rational expression

Simplification of the rational expression

Here rational expression is $\frac{z^{2} - 9 z + 20}{16 - z^{2}}$ .For simplification we need to factor both numerator and denominator separately and find out the common factors, we get $\frac{z^{2} - 9 z + 20}{16 - z^{2}} = \frac{(z - 4) (z - 5)}{(4 - z) (4 + z)}$ . We can see that factors are that are opposite hence an expression and its opposite divide to 鈭�1.Then rational becomes $\frac{z^{2} - 9 z + 20}{16 - z^{2}} = \frac{(z - 4) (z - 5)}{(4 - z) (4 + z)} = (- 1) \frac{(z - 4) (z - 5)}{(z + 4) (z - 4)} = \frac{- (z - 5)}{(z + 4)}, z 鈮� - 4 \sin c e (z - 4) i s t h e c o m m o n f a c t o r s s o d i v i d e o u t$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Simplify the rational expression $\frac{z^{2} - 9 z + 20}{16 - z^{2}}$

Short Answer

Step by step solution

Given information

Simplification of the rational expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Geometry

Mechanics Maths

Statistics

Applied Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

91影视

Simplify the rational expressionz2-9z+2016-z2

Short Answer

Step by step solution

Given information

Simplification of the rational expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Geometry

Mechanics Maths

Statistics

Applied Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Simplify the rational expression $\frac{z^{2} - 9 z + 20}{16 - z^{2}}$